The book is a modern course in linear algebra. It is distinguished by the accuracy of the wording, and the excellent organization of the course, thanks to which it is completely possible to avoid cumbersome evidence. Non-trivial theorems associated, for example, with determinants are proved extremely simply and quickly, in the best possible way. All this is achieved due to the fact that the course is built very consistently, and at the same time simply and clearly. One of the few books on which it is simple and pleasant to study linear algebra.